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44728020 = 223251747311
BaseRepresentation
bin1010101010011…
…1111011010100
310010011102022100
42222213323110
542422244040
64234402100
71052116251
oct252477324
9103142270
1044728020
112327a907
1212b90330
1393608ac
145d24428
153dd7b30
hex2aa7ed4

44728020 has 144 divisors (see below), whose sum is σ = 147184128. Its totient is φ = 10951680.

The previous prime is 44728001. The next prime is 44728027. The reversal of 44728020 is 2082744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44728027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143665 + ... + 143975.

It is an arithmetic number, because the mean of its divisors is an integer number (1022112).

Almost surely, 244728020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44728020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73592064).

44728020 is an abundant number, since it is smaller than the sum of its proper divisors (102456108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

44728020 is a wasteful number, since it uses less digits than its factorization.

44728020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 44728020 is about 6687.9010160139. The cubic root of 44728020 is about 354.9712864431.

The spelling of 44728020 in words is "forty-four million, seven hundred twenty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 47 51 60 68 85 90 94 102 141 153 170 180 188 204 235 255 282 306 311 340 423 470 510 564 612 622 705 765 799 846 933 940 1020 1244 1410 1530 1555 1598 1692 1866 2115 2397 2799 2820 3060 3110 3196 3732 3995 4230 4665 4794 5287 5598 6220 7191 7990 8460 9330 9588 10574 11196 11985 13995 14382 14617 15861 15980 18660 21148 23970 26435 27990 28764 29234 31722 35955 43851 47583 47940 52870 55980 58468 63444 71910 73085 79305 87702 95166 105740 131553 143820 146170 158610 175404 190332 219255 237915 248489 263106 292340 317220 438510 475830 496978 526212 657765 745467 877020 951660 993956 1242445 1315530 1490934 2236401 2484890 2631060 2981868 3727335 4472802 4969780 7454670 8945604 11182005 14909340 22364010 44728020